| Hardcover ISBN: | 978-1-4704-4782-3 |
| Product Code: | CLRM/56 |
| List Price: | $59.00 |
| MAA Member Price: | $44.25 |
| AMS Member Price: | $44.25 |
| eBook ISBN: | 978-1-4704-4837-0 |
| Product Code: | CLRM/56.E |
| List Price: | $55.00 |
| MAA Member Price: | $41.25 |
| AMS Member Price: | $41.25 |
| Hardcover ISBN: | 978-1-4704-4782-3 |
| eBook: ISBN: | 978-1-4704-4837-0 |
| Product Code: | CLRM/56.B |
| List Price: | $114.00 $86.50 |
| MAA Member Price: | $85.50 $64.88 |
| AMS Member Price: | $85.50 $64.88 |
| Hardcover ISBN: | 978-1-4704-4782-3 |
| Product Code: | CLRM/56 |
| List Price: | $59.00 |
| MAA Member Price: | $44.25 |
| AMS Member Price: | $44.25 |
| eBook ISBN: | 978-1-4704-4837-0 |
| Product Code: | CLRM/56.E |
| List Price: | $55.00 |
| MAA Member Price: | $41.25 |
| AMS Member Price: | $41.25 |
| Hardcover ISBN: | 978-1-4704-4782-3 |
| eBook ISBN: | 978-1-4704-4837-0 |
| Product Code: | CLRM/56.B |
| List Price: | $114.00 $86.50 |
| MAA Member Price: | $85.50 $64.88 |
| AMS Member Price: | $85.50 $64.88 |
-
Book DetailsClassroom Resource MaterialsVolume: 56; 2018; 261 pp
This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results. An up-to-date presentation is given, making infinite series accessible, interesting, and useful to a wide audience, including students, teachers, and researchers. Included are elementary and advanced tests for convergence or divergence, the harmonic series, the alternating harmonic series, and closely related results. One chapter offers 107 concise, crisp, surprising results about infinite series. Another gives problems on infinite series, and solutions, which have appeared on the annual William Lowell Putnam Mathematical Competition. The lighter side of infinite series is treated in the concluding chapter where three puzzles, eighteen visuals, and several fallacious proofs are made available. Three appendices provide a listing of true or false statements, answers to why the harmonic series is so named, and an extensive list of published works on infinite series.
-
Table of Contents
-
Chapters
-
1. Introduction to Infinite Series
-
2. More Sophisticated Techniques
-
3. The Harmonic Series and Related Results
-
4. Intriguing Results
-
5. Series and the Putnam Competition
-
6. Final Diversions
-
-
Reviews
-
The fact that 'Real Infinite Series' is written in simple language makes it a fun book that is easy to read and understand at the undergraduate level.
Mehmet Kucukaslan, Mersin University -
One chapter offers 107 concise, crisp, surprising results about infinite series. Recognizing the interest in problem solving that abounds with students of mathematics, the authors devote a chapter to problems of infinite series, and solutions ...
L'enseignement mathematique
-
-
RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results. An up-to-date presentation is given, making infinite series accessible, interesting, and useful to a wide audience, including students, teachers, and researchers. Included are elementary and advanced tests for convergence or divergence, the harmonic series, the alternating harmonic series, and closely related results. One chapter offers 107 concise, crisp, surprising results about infinite series. Another gives problems on infinite series, and solutions, which have appeared on the annual William Lowell Putnam Mathematical Competition. The lighter side of infinite series is treated in the concluding chapter where three puzzles, eighteen visuals, and several fallacious proofs are made available. Three appendices provide a listing of true or false statements, answers to why the harmonic series is so named, and an extensive list of published works on infinite series.
-
Chapters
-
1. Introduction to Infinite Series
-
2. More Sophisticated Techniques
-
3. The Harmonic Series and Related Results
-
4. Intriguing Results
-
5. Series and the Putnam Competition
-
6. Final Diversions
-
The fact that 'Real Infinite Series' is written in simple language makes it a fun book that is easy to read and understand at the undergraduate level.
Mehmet Kucukaslan, Mersin University -
One chapter offers 107 concise, crisp, surprising results about infinite series. Recognizing the interest in problem solving that abounds with students of mathematics, the authors devote a chapter to problems of infinite series, and solutions ...
L'enseignement mathematique
